Eur. Phys. J. B 69, 119-126 (2009)
https://doi.org/10.1140/epjb/e2009-00060-4

Periodic renewal processes: application to periodically driven FitzHugh-Nagumo system

¹ Institute of Physics, Humboldt University of Berlin, Newtonstr. 15, 12489 Berlin, Germany
² Department of Physics and Astronomy, Ohio University, Athens, Ohio, 45701, USA

Corresponding author: ^a alsg@physik.hu-berlin.de

Received: 7 January 2009
Published online: 21 February 2009

Abstract

Stimulation with periodic force is a standard method to study response properties of a system. Here we examine a special type of systems which generate a sequence of events with uncorrelated time intervals. We review analytical tools to calculate the gain and the signal-to-noise ratio for such systems when perturbed by sinusoidal signal and then apply these tools to the stochastic FitzHugh-Nagumo model.